Year: 2024
Type: article
Abstract: We discuss the relation between the Koonin-Pratt femtoscopic correlation function (CF) and invariant mass distributions from production experiments. We show that the equivalence is total for a zero source-size and that a Gaussian finite-size source provides a form-factor for the virtual production of the particles. Motivated by this remarkable relationship, we study an alternative method to the Koonin-Pratt formula, which connects the evaluation of the CF directly with the production mechanisms. The differences arise mostly from the T –matrix quadratic terms and increase with the source size. We study the case of the D 0 D * + and D + D * 0 correlation functions of interest to unravel the dynamics of the exotic T c c ( 3875 ) + , and find that these differences become quite sizable already for 1 fm sources. We nevertheless conclude that the lack of coherence in high-multiplicity-event reactions and in the creation of the fire-ball source that emits the hadrons certainly make much more realistic the formalism based on the Koonin-Pratt equation. We finally derive an improved Lednicky-Lyuboshits (LL) approach, which implements a Lorentz ultraviolet regulator that corrects the pathological behavior of the LL CF in the punctual source-size limit. Published by the American Physical Society 2024
Authors: M. Albaladejo, A. Feijoo, J. Nieves, E. Oset, I. Vidaña
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G1038765033, G1419670400, G14744916, G1570660777, G1831862684, G1897041155, G2088816128, G2501206691, G2710527523, G288317953, G3111662533, G3142173218, G3176647223, G341721890, The strong interaction at the frontier of knowledge: fundamental research and applications, G3753556305, G4090823411, G4301024709, G4328693028, G434337789, EXC 2094: ORIGINS: Vom Ursprung des Universums bis zu den ersten Bausteinen des Lebens, G4774512024, G4937468798, G5805502524, G5939081692, G6181160587, G6591175050, G6757515635, G680252854, G7451223319, G895565677
OpenAlex ID: W4405892105